On K-Stability for Fano Threefolds of Rank 3 and Degree 28

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Abstract

We show that there exists a K-stable smooth Fano threefold of the Picard rank $3$, the anti-canonical degree $28,$ and the third Betti number $2$.

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Kento Fujita (2022) studied this question.

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We show that there exists a K-stable smooth Fano threefold of the Picard rank $3$, the anti-canonical degree $28,$ and the third Betti number $2$.